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These three together are required to satisfy Peano's axioms.
Also known as
A Peano structure is also known as a Dedekind-Peano structure.
Source of Name
- [These] assertions ... are known as the Peano axioms; they used to be considered as the fountainhead of all mathematical knowledge.
Thus they are now rarely considered as axiomatic as such.
However, in their time they were groundbreaking.